Evaluate the following logarithmic expression
log2(1000)
Evaluate log2(1000) using the Change of Base Formula
The formula for the change of base rule in logb(x) is as follows:
| logb(x) = | Ln(x) |
| Ln(b) |
Given b = 2 and x = 1000, we have:
| log2(1000) = | Ln(1000) |
| Ln(2) |
| log2(1000) = | 6.9077552789821 |
| 0.69314718055995 |
Final Answer
9.9657842846621
